Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 2850567628] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s894 geometric_solution 5.63188742 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881864555303 0.838049079209 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660676352270 0.927543599693 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 1 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660676352270 0.927543599693 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.188441373094 0.773522236803 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907306099922 1.046047770977 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149128879447 0.616377452919 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 2585354/5417*c_0101_3^15 - 15933172/5417*c_0101_3^14 + 7391112/5417*c_0101_3^13 + 45522823/5417*c_0101_3^12 + 4933298/5417*c_0101_3^11 - 76773063/10834*c_0101_3^10 - 46248665/5417*c_0101_3^9 + 43170568/5417*c_0101_3^8 + 52010172/5417*c_0101_3^7 - 104912473/10834*c_0101_3^6 - 22754361/5417*c_0101_3^5 + 33906652/5417*c_0101_3^4 + 3227174/5417*c_0101_3^3 - 10796475/5417*c_0101_3^2 + 188751/10834*c_0101_3 + 1277080/5417, c_0011_0 - 1, c_0011_4 - 9570436/124591*c_0101_3^15 - 53640016/124591*c_0101_3^14 + 53445112/124591*c_0101_3^13 + 122164038/124591*c_0101_3^12 - 4621280/124591*c_0101_3^11 - 139481951/124591*c_0101_3^10 - 111901036/124591*c_0101_3^9 + 177244198/124591*c_0101_3^8 + 107682096/124591*c_0101_3^7 - 176213819/124591*c_0101_3^6 - 32218412/124591*c_0101_3^5 + 101000467/124591*c_0101_3^4 - 2450172/124591*c_0101_3^3 - 30939051/124591*c_0101_3^2 + 2037153/124591*c_0101_3 + 3944202/124591, c_0101_0 + 3558864/124591*c_0101_3^15 + 20808180/124591*c_0101_3^14 - 15294740/124591*c_0101_3^13 - 51284508/124591*c_0101_3^12 - 6083294/124591*c_0101_3^11 + 52621582/124591*c_0101_3^10 + 51298025/124591*c_0101_3^9 - 58473091/124591*c_0101_3^8 - 54795185/124591*c_0101_3^7 + 62919640/124591*c_0101_3^6 + 23878202/124591*c_0101_3^5 - 39346419/124591*c_0101_3^4 - 4108284/124591*c_0101_3^3 + 12749640/124591*c_0101_3^2 + 137981/124591*c_0101_3 - 1659367/124591, c_0101_1 + 6513592/124591*c_0101_3^15 + 36689932/124591*c_0101_3^14 - 35620976/124591*c_0101_3^13 - 85326312/124591*c_0101_3^12 + 4128750/124591*c_0101_3^11 + 95546522/124591*c_0101_3^10 + 76239635/124591*c_0101_3^9 - 121545844/124591*c_0101_3^8 - 76283963/124591*c_0101_3^7 + 125140138/124591*c_0101_3^6 + 21976525/124591*c_0101_3^5 - 72195496/124591*c_0101_3^4 + 3400317/124591*c_0101_3^3 + 21717992/124591*c_0101_3^2 - 2013247/124591*c_0101_3 - 2669637/124591, c_0101_2 + 4*c_0101_3^15 + 20*c_0101_3^14 - 36*c_0101_3^13 - 38*c_0101_3^12 + 34*c_0101_3^11 + 57*c_0101_3^10 + 11*c_0101_3^9 - 103*c_0101_3^8 + 103*c_0101_3^6 - 33*c_0101_3^5 - 51*c_0101_3^4 + 28*c_0101_3^3 + 12*c_0101_3^2 - 8*c_0101_3 - 1, c_0101_3^16 + 5*c_0101_3^15 - 9*c_0101_3^14 - 19/2*c_0101_3^13 + 17/2*c_0101_3^12 + 57/4*c_0101_3^11 + 11/4*c_0101_3^10 - 103/4*c_0101_3^9 + 103/4*c_0101_3^7 - 33/4*c_0101_3^6 - 51/4*c_0101_3^5 + 7*c_0101_3^4 + 3*c_0101_3^3 - 9/4*c_0101_3^2 - 1/4*c_0101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB